Hi Pierre,

While the name is different, the MSE criterion is strictly equivalent
to the reduction of variance. The only difference is that we do not
divide by var{y|S} because this factor is the same for all splits and
all features, hence the maximizer is the same.

Cheers,

Gilles

On 24 February 2015 at 01:53, Pierre-Luc Bacon <pba...@cs.mcgill.ca> wrote:
> In the original Extra-Tree papers, the authors use the "relative variance
> reduction" (appendix A) for regression.
>
> The implementation in Scikit-Learn however suggests a different criterion:
> https://github.com/scikit-learn/scikit-learn/blob/master/sklearn/tree/_tree.pyx#L836
>
> What was the rational behind this choice ?
>
> Thanks,
> Pierre-Luc
>
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